33420951148416 has 2048 divisors, whose sum is σ = 113947106918400. Its totient is φ = 8561413324800.

The previous prime is 33420951148411. The next prime is 33420951148463. The reversal of 33420951148416 is 61484115902433.

It is a super-4 number, since 4×33420951148416⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33420951148411) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 295760629576 + ... + 295760629688.

It is an arithmetic number, because the mean of its divisors is an integer number (55638235800).

Almost surely, 2^{33420951148416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33420951148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56973553459200).

33420951148416 is an abundant number, since it is smaller than the sum of its proper divisors (80526155769984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33420951148416 is a wasteful number, since it uses less digits than its factorization.

33420951148416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 33420951148416 in words is "thirty-three trillion, four hundred twenty billion, nine hundred fifty-one million, one hundred forty-eight thousand, four hundred sixteen".